06114151

j

06114151 Ismail, Ali A. Estimating the parameters of Weibull distribution and the acceleration factor from hybrid partially accelerated life test. Appl. Math. Modelling 36, No. 7, 2920-2925 (2012). 2012 Elsevier Science Inc., New York, NY EN savings of time and money step-stress maximum likelihood Fisher information matrix

doi:10.1016/j.apm.2011.09.083

Summary: We consider the estimation of the parameters of the Weibull distribution based on hybrid censored data. The parameters are estimated by the maximum likelihood method under a step-stress partially accelerated test model. The maximum likelihood estimates (MLEs) of the unknown parameters are obtained by Newton-Raphson algorithm. Also, the approximate Fisher information matrix is obtained for constructing asymptotic confidence bounds for the model parameters. The biases and mean square errors of the maximum likelihood estimators are computed to assess their performances through a Monte Carlo simulation study.